Properties of the Number 2132

Two Thousand One Hundred Thirty-Two

Basics

Value: 2131 → 2132 → 2133

Parity: even

Prime: No

Previous Prime: 2131

Next Prime: 2137

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 13 × 41

Divisors: 1, 2, 4, 13, 26, 41, 52, 82, 164, 533

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100001010100

Octal: 4124

Duodecimal: 1298

Hexadecimal: 854

Square: 4545424

Square Root: 46.17358552246078

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Multiples of 13 containing a 13 in their decimal representation. A121033

Number of integer partitions of n whose first differences (assuming the last part is zero) are unimodal. A332283

(Presumed) solution to Waring's problem: g(n) = 2ⁿ + floor((3/2)ⁿ) - 2. A2804

a(n) = ∏_{k=0..floor(log₃(n))} floor(n/3^k), n>=1. A132027

Years in which there are five Fridays in the month of February. A141287

Decimal encoding of the prime factorization of n: concatenation of prime factors and exponents. A67599

Expansion of Jacobi θ constant theta₂⁶ /(64q^3/2). A8440

Numbers m such that there are precisely 15 groups of order m. A294156

Numbers k such that φ(k) = φ(k+2). A1494

a(n) = 1·2*3 + 4·5*6 + 7·8*9 + 10·11·12 + 13·14·15 + 16·17·18 + ... + (up to n). A319014